Question

A particle moves in a circle of radius R from A to B, as shown in figure,The distance covered by the objects is:

• A. $\frac{\pi R}{4}$
• B. $\frac{\pi R}{2}$
• C. $\frac{\pi R}{3}$
• D. $\pi R$

Answer 1

The correct option is C $\frac{\pi R}{3}$

Given that,

Angle of $A$ and $B={60}^0$

Now, distance of a particle between $A$ and $B$

Distance travelled = length of arc $AB$

$=\frac{60}{360}\times 2\pi R$

$=\frac{\pi R}{3}$

Hence, the distance covered by the objects is $\frac{\pi R}{3}$